An inductance L- a capacitance C and a resistance R may be connected to an AC source of angular frequency - in three different combinations of RC- RL and LC in series- Assume that - L - 1- C- The power drawn by the three combinations are P1- P2- P3 respectively- Then-

The correct option is A P_1=P_2=P_3 The LC circuit draws no power. When ω L = 1ω C. #160;The impedances of the RC and LR circuit ...

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Standard XII

Physics

Electrical Oscillations

An inductance...

Question

An inductance $L$ , a capacitance $C$ and a resistance $R$ may be connected to an $A C$ source of angular frequency $ω$ , in three different combinations of $R C, R L$ and $L C$ in series. Assume that $ω L = \frac{1}{ω C}$ . The power drawn by the three combinations are $P_{1}, P_{2}, P_{3}$ respectively. Then,

P_{1} > P_{2} > P_{3}

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P_{1} = P_{2} < P_{3}

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P_{1} = P_{2} > P_{3}

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P_{1} = P_{2} = P_{3}

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Solution

The correct option is A $P_{1} = P_{2} = P_{3}$
The $L C$ circuit draws no power. When $ω L = \frac{1}{ω C} .$

The impedances of the $R C$ and $L R$ circuits are equal, and they draw the same power.

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An inductance L, a capacitance C and a resistance R may be connected to an AC source of angular frequency ω, in three different combinations of RC,RL and LC in series. Assume that ωL=1ωC. The power drawn by the three combinations are P1,P2,P3 respectively. Then,

The correct option is A P1=P2=P3The LC circuit draws no power. When ωL=1ωC. The impedances of the RC and LR circuits are equal, and they draw the same power.

The correct option is A $P_{1} = P_{2} = P_{3}$
The $L C$ circuit draws no power. When $ω L = \frac{1}{ω C} .$

The impedances of the $R C$ and $L R$ circuits are equal, and they draw the same power.